#ATTENDANCE QUIZ FOR LECTURE 7 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p7
#with an attachment called
#p7FirstLast.txt
#(e.g. p7DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Sept. 28, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE:

PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH BY THE ANSWER

1. Let K be the 3-digit number consisting of your 3rd, 4th, and 5th RUID digits. What is G(K)?
RUID: 178000194
g(800) = [0,0,0,0]

2. Is {g(n)} in the OEIS? If yes what is the a-number if not should it be?
no

3. for i = 3,4,5...
compute SeqRec([1$i],[0$(i-1),1]],30);
Find whether these sequences are in the OEIS
Find their A-numbers.
What is the smallest i for which this sequence is not in the OEIS? 
Should it be?

SeqRec([[1,1,1],[0,0,1]],30);
[0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415, 223317, 410744, 755476, 1389537, 2555757, 4700770, 8646064, 15902591]
A000073

SeqRec([[1,1,1,1],[0,0,0,1]],30);
[0, 0, 0, 1, 1, 2, 4, 8, 15, 29, 56, 108, 208, 401, 773, 1490, 2872, 5536, 10671, 20569, 39648, 76424, 147312, 283953, 547337, 1055026, 2033628, 3919944, 7555935, 14564533, 28074040]
A000078

SeqRec([[1,1,1,1,1],[0,0,0,0,1]],30);
[0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61, 120, 236, 464, 912, 1793, 3525, 6930, 13624, 26784, 52656, 103519, 203513, 400096, 786568, 1546352, 3040048, 5976577, 11749641, 23099186]
A001591

i=0 is in the OEIS for A000012